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Mathematics > Quantum Algebra

Title:Module categories over equivariantized tensor categories

Abstract: For a finite tensor category $\mathcal C$ and a Hopf monad $T:\mathcal C\to
\mathcal C$ satisfying certain conditions we describe exact indecomposable left
$\mathcal C^T$-module categories in terms of left $\mathcal C$-module
categories and some extra data. We also give a 2-categorical interpretation of
the process of equivariantization of module categories.